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Finding the Fourth Proportional to 8,464.30, 12,696.74 and 4,019.68

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Solution

The fourth proportional to 8,464.30, 12,696.74 and 4,019.68 is: 6,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.30 : 12,696.74 = 4,019.68 : x
  2. Step 2: Convert to fraction form
    8,464.30/12,696.74 = 4,019.68/x
  3. Step 3: Cross multiply
    8,464.30x = 12,696.74 × 4,019.68
  4. Step 4: Simplify right side
    8,464.30x = 51,036,810.15
  5. Step 5: Solve for x
    x = 51,036,810.15/8,464.30
  6. Step 6: Final answer
    x = 6,029.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.